Infinite torsion in Griffiths groups
Algebraic Geometry
2022-01-31 v4 Complex Variables
Abstract
We show that there are smooth complex projective varieties with infinite 2-torsion in their third Griffiths groups. It follows that the torsion subgroup of Griffiths groups is in general not finitely generated, thereby solving a problem of Schoen from 1992.
Keywords
Cite
@article{arxiv.2011.15047,
title = {Infinite torsion in Griffiths groups},
author = {Stefan Schreieder},
journal= {arXiv preprint arXiv:2011.15047},
year = {2022}
}
Comments
28 pages, final version, to appear in JEMS